Model Predictive Control Systems And Methods For Increasing Computational Efficiency

An engine control system for a vehicle, comprising:

• a torque requesting module that generates a first torque request for a spark ignition engine based on driver input;
• a torque conversion module that converts the first torque request into a second torque request;
• a model predictive control (MPC) module that determines a current set of target values based on the second torque request, a model of the engine, a tableau matrix, and a basic solution matrix, wherein the MPC module:
• initializes the basic solution matrix to a predetermined matrix that is dual feasible;
• selectively iteratively updates the basic solution matrix and columns of the tableau matrix;
• determines changes for the target values, respectively, based on entries of the basic solution matrix resulting from the selective iterative updating;
• and
• determines the current set of target values by summing the changes with a last set of target values, respectively;
• and
• an actuator module that controls an engine actuator based on a first one of the current set of target values.